34381152000 has 576 divisors, whose sum is σ = 136690619520. Its totient is φ = 8460288000.

The previous prime is 34381151999. The next prime is 34381152007. The reversal of 34381152000 is 25118343.

It is a happy number.

34381152000 is a `hidden beast` number, since 343 + 8 + 115 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×34381152000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34381152007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11230470 + ... + 11233530.

Almost surely, 2^34381152000 is an apocalyptic number.

34381152000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34381152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68345309760).

34381152000 is an abundant number, since it is smaller than the sum of its proper divisors (102309467520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34381152000 is a wasteful number, since it uses less digits than its factorization.

34381152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 34381152000 in words is "thirty-four billion, three hundred eighty-one million, one hundred fifty-two thousand".